There seems to be some confusion and inconsistency on Wikipedia as to how the names of Spanish football clubs should be expressed.

In Spanish football, it is not common practice to list clubs by just the town/city names, in the way that in England we refer to Arsenal or Swansea. The club is always listed with a club name, e.g. Real Madrid or Barcelona. If the team does not have an elaborate name like this, then the CF, FC, RCD (etc.) may/may not be left in, i.e. Getafe CF. This applies in all lists, infoboxes, league tables, statistics tables, fixtures, match details, and in a player's lead.

Obviously in article prose, a shortened name can be used, once the proper name has been established, to make the text flow more easily. Equally in tables where there is a lack of space, abbreviations can be used, but this is rare on Wikipedia.

If you do insist on using one-word names, or town names, please check that it's appropriate, and that no other club uses that name.

When you do use one-word names, ensure that it makes grammatical sense. Real Madrid CF means "Real Madrid Club de Fútbol" - ???? is an adjective, so leaving it on its own makes no sense. Saying a player played for Madrid is like saying Fernando Llorente played for Spanish. Generally speaking, if the initials are after the town name, which ends in -er, then it's in its adjective form, while if it's written before, it's expressed normally, as a noun.